Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 19: Poster Session: Correlated Electrons 1

TT 19.69: Poster

Montag, 20. März 2017, 15:00–19:00, P2-EG

The 1D Anderson model revisited: Low-frequency behavior of the optical conductivity — •Tim Breidenbach and Robin Steinigeweg — University Osnabrück

We study the low-frequency dependence of the optical conductivity Re σ(ω) of the one-dimensional Anderson model, i.e., for non-interacting spin-less fermions in a random on-site potential. Using the method of exact diagonalization and dynamical quantum typicality, we calculate the real-time decay of the current autocorrelation function and obtain Re σ(ω) by the Fourier transform of long-time data. We particularly variate the strength of disorder to determine low-frequency power laws at finite temperatures and in finite systems as well as the range of validity of Mott’s law. Our results may shed light on corresponding studies in the many-body case, e.g., [1].

[1] R. Steinigeweg et al., Phys. Rev. B 94, 180401(R) (2016)